In this video we are going over the beginning of how to graph a logarithmic function. This is the video you will want to watch first before going deeper.

In this video we will do a quick review of graphing logarithmic functions, what makes up the graph of the logarithm and how the transformations will effect the graph.

In this video I am going to explore the top logarithmic expressions that students must know about logarithms.

A video entitled "Graphing Logarithms" which walks through how to graph a logarithmic function using a table of values.

Pupil outcome: I can factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals. Key learning points: - Factorising multiples of 10 can scale the calculation to easier values. - It is...

Pupil outcome: I can use my knowledge of percentages to solve problems. Key learning points: - A context can be evaluated to determine what sort of percentage calculation is involved. - As percentages can be written as fractions and...

Pupil outcome: I can appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10^n Key learning points: - Place value of decimals can be represented with exponentials in the column headings. -...

Pupil outcome: I can use the laws of indices to multiply two powers where the bases are the same. Key learning points: - When multiplying two terms, you can sometimes write this more simply. - If the powers have the same base, then the...

Pupil outcome: I can write very small numbers in the form A × 10^(−n), (where 1 ≤ A < 10) and appreciate the real-life contexts where this format is usefully used. Key learning points: - It is difficult to read very small numbers, due to...

Pupil outcome: I can carry out compound interest calculations where the percentage changes. Key learning points: - By considering the calculations for compound interest, you can be more efficient. - Through understanding the structure,...

Pupil outcome: I can write any integer in a range of forms. Key learning points: - A positive exponent tells you how many identical values must be multiplied together. - Dividing by 10^n is the same as multiplying by its reciprocal. - A...

Pupil outcome: I can appreciate the mathematical structures that underpin subtraction of numbers represented in standard form. Key learning points: - When subtracting numbers represented in standard form, place value is an important...

Pupil outcome: I can carry out compound interest calculations with a calculator. Key learning points: - Calculators are very useful here as they can be programmed efficiently. - This saves time and can reduce error. - It is also quick to...

Pupil outcome: I can calculate compound interest rates given start and end values. Key learning points: - If the compound interest rate is fixed but unknown, you can calculate it. - To calculate it you need to know the start and end...

Pupil outcome: I can write very small numbers in the form A × 10^n, (where 1 ≤ A < 10) and appreciate the real-life contexts where this format is usefully used. Key learning points: - It is difficult to read very small numbers, due to...

Pupil outcome: I can appreciate the mathematical structures that underpin multiplication of numbers represented in standard form. Key learning points: - The commutative law allows the product of two numbers represented in standard form...

Pupil outcome: I can use my knowledge of standard form to solve problems. Key learning points: - It can be useful to have very large or very small numbers written in standard form. - Being able to perform arithmetic operations on numbers...

Pupil outcome: I can use my knowledge of percentages to solve problems. Key learning points: - A context can be evaluated to determine what sort of percentage calculation is involved. - As percentages can be written as fractions and...

Pupil outcome: I can write very large numbers in standard form and appreciate the real-life contexts where this format is usefully used. Key learning points: - It is difficult to read very large numbers, due to the number of digits...

Pupil outcome: I can state the commutative law and use it to calculate efficiently. Key learning points: - A number can be expressed as the product of prime factors. - By using the commutative law, you can chose which factors to multiply...

Pupil outcome: I can appreciate the mathematical structures that underpin division of numbers represented in standard form. Key learning points: - Equivalent fractions can be used to calculate the quotient when dividing with two numbers...

Pupil outcome: I can express place value column headings using both exponential and fractional representations. Key learning points: - The column headings for integer values can be expressed in different ways. - The column headings for...

Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...

In this video, we solve more exponential and logarithmic equations.